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Finding the Fourth Proportional to 5,138.61, 7,091.13 and 2,900.49

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Solution

The fourth proportional to 5,138.61, 7,091.13 and 2,900.49 is: 4,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.61 : 7,091.13 = 2,900.49 : x
  2. Step 2: Convert to fraction form
    5,138.61/7,091.13 = 2,900.49/x
  3. Step 3: Cross multiply
    5,138.61x = 7,091.13 × 2,900.49
  4. Step 4: Simplify right side
    5,138.61x = 20,567,751.65
  5. Step 5: Solve for x
    x = 20,567,751.65/5,138.61
  6. Step 6: Final answer
    x = 4,002.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.